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Finding the Fourth Proportional to 133,102.42, 199,652.82 and 33,262.10

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Solution

The fourth proportional to 133,102.42, 199,652.82 and 33,262.10 is: 49,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102.42 : 199,652.82 = 33,262.10 : x
  2. Step 2: Convert to fraction form
    133,102.42/199,652.82 = 33,262.10/x
  3. Step 3: Cross multiply
    133,102.42x = 199,652.82 × 33,262.10
  4. Step 4: Simplify right side
    133,102.42x = 6,640,872,064.12
  5. Step 5: Solve for x
    x = 6,640,872,064.12/133,102.42
  6. Step 6: Final answer
    x = 49,892.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.